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A configurable joint won't attach to the air

Hello. I'm new to Unity, and ran into a problem while I'm going through a basic stuff. This probably is a pretty dumb question, but I couldn't figure it out.

I wanted to attach a configurable join to a rigidbody and have it fixed to the air by not assigning a connected body. But when I did it, the body just fell of. The other joints worked as I intended them to, but this happens only to the configurable joint. All I did was to create a cube, tilt it, attach a configurable joint, and hit run. Is there something very basic I'm missing here?